Emma is standing 20 yards from a billboard as shown. The bottom of the billboard (B) 6 yards above the


ground, and the top (T) is 10 yards above the ground. What elevation angles might Emma use in order to read


messages on the billboard? Select all that apply.


T


B


MILIE


-20 yards


Emma

Answer:

Step-by-step explanation:

\(\mathrm{Expand\:}-\left(4-x\right):\quad -4+x\)

Steps

\(-\left(4-x\right)\)

\(\mathrm{Apply\:the\:distributive\:law}:\quad \:-\left(a-b\right)=-a-\left(-b\right)\)

\(-\left(4-x\right)=-4-\left(-x\right)\)

\(=-4-\left(-x\right)\)

Simplify

\(=-4+x\)

도움이되기를 바랍니다

There are \(\frac{60!}{57!}\) ways we can do it.

Since organization has 60 members from which we haveto pick one person at random to be the president, another person to be the vice president and a third person to be the transformer,

the president can be select in 60c1 = \(\frac{60!}{1! 59!}\)

                                                           = \(\frac{60 *59!}{1*59!}\)

                                                           = 60 ways

After this for vice president we have 59 members from which vice president can be select in 59c1 = 59 ways.

and for treasure we have 58 members from which treasure can be select in 58c1 = 58 ways.

∴ No. of ways in which we can select president, vice president and treasure = 60 × 59 × 58

              =  \(\frac{60 * 59 * 58 * 57!}{57!}\)

              =  \(\frac{60!}{57!}\)

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The probability of a standard normal random variable being larger than 0.7 is approximately 0.2420, or 24.20%.

To find the probability of a standard normal random variable being larger than a specific value, we can use the cumulative distribution function (CDF) of the standard normal distribution.

In this case, we want to find P(Z > 0.7), where Z is a standard normal random variable with mean 0 and standard deviation 1.

Using a standard normal distribution table or a calculator with the CDF function, we can find the probability associated with the value 0.7.

P(Z > 0.7) ≈ 1 - P(Z ≤ 0.7)

Looking up the value of 0.7 in the standard normal distribution table, we find that the corresponding cumulative probability is approximately 0.7580.

Therefore, P(Z > 0.7) ≈ 1 - 0.7580 ≈ 0.2420

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Answer:

1 year (10 months)

Step-by-step explanation:

Answer:

10    

Step-by-step explanation:

I got it right

The equation to model the population is P = \(\frac{1}{40}\) \(e^{0.05t}\) + 30

Here the population P of a small town, measured in hundreds, is modeled by the inverse of the function,P−1(t) = 20ln(40t − 1200)

where t is measured in years.

We need to find an equation to model the population.

let y = \(p^{-1}\)(t)

where t is measured in years.

We need to find an equation to model the population.

20\(ln\)(40y - 1200) = t

\(ln\)(40y - 1200) = t/20

\(e^{ln(40y - 1200)}\) = \(e^{0.05t}\)

(40y - 1200) = \(e^{0.05t}\)

40y = \(e^{0.05t}\) + 1200

y = \(\frac{1}{40}\) \(e^{0.05t}\) + 30

Now, we determine the initial value.

P(0) = \(\frac{1}{40}\) + 30

P(0) = 30

The equation to model the population is P = \(\frac{1}{40}\) \(e^{0.05t}\) + 30

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Answer:

Step-by-step explanation:

8.25*12= $99.00

In the given the function,  we have to solve: f(s) = 145² + 565 +152 (5+6) (5²+45+20)" 11 F(s) = 8(5+1)² (5² +10s +34) (5² +8s + 20).

Calculation:

\(\[152(5+6)(5^2+45+20) = 152(11)(70) = 118,480\]\[145^2 = 21,025\]\[565 = 565\]\)

Therefore, \(f(s) = 210,252 + 565 + 118,480 = 329,297\).

Now, we need to find \(f(t)\) where \(t = 5\). We substitute \(s = 5\) into the function \(f(s)\):

\(\[f(t) = 8(5+1)^2(5^2 + 10(5) + 34)(5^2 + 8(5) + 20)\]\[f(t) = 8(6)^2(5^2 + 50 + 34)(5^2 + 40 + 20)\]\[f(t) = 8(36)(25 + 50 + 34)(25 + 40 + 20)\]\[f(t) = 8(36)(109)(85)\]\[f(t) = 266,160\]\)

Therefore, the value of \(f(t)\) is 266,160.

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Among the four options provided along with the question statement to choose from, for our correct answer, option (C) that, "The trials must be dependent" is not a criterion for the Binomial Distribution.

As per the question statement, we are provided with four options to choose from, as a criterion which is not necessary or required for the Binomial Distribution.

We are required to determine the correct option from the four provided along with the question statement as mentioned above, which will not be necessary or required for the Binomial Distribution.

Among the Four options which go as:

option (A) There must be a constant probability of success on each trial.

Option (B) There must be two disjoint outcomes for each trial.

Option (C) The trials must be dependent.

Option (D) There must be a fixed number of trials,

Option (C) that "The trials must be dependent" is the correct choice for our concerned case, as all the other options are important criteria or requirements for the Binomial Distribution.

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7/8 of the unknown number equals to  175.

Let's start by setting up an equation to represent the given information. We are told that 3/5 of a number is 120, so we can write:

(3/5)x = 120

To solve for x, we can multiply both sides of the equation by the reciprocal of 3/5, which is 5/3:

x = 120 × (5/3)

x = 200

Therefore, the number is 200.

Now we need to find 7/8 of the number, which we can do by multiplying 200 by 7/8:

7/8 × 200 = (7/8) × (200)

= (7/8) × (25 × 8)

= 25 × 7

= 175

Therefore, 7/8 of the number is 175.

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Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

\(d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ \)

where

(x1 , y1) and (x2 , y2) are the points

From the question

(1, 10) and(-5, -8)

The distance is

\(d = \sqrt{ ( {1 + 5})^{2} + ({10 + 8})^{2} } \\ = \sqrt{ {6}^{2} + {18}^{2} } \\ = \sqrt{36 + 324} \\ = \sqrt{360} \\ = 6 \sqrt{10} \\ = 18.9736659\)

We have the final answer as

\(6 \sqrt{10} \: \: \: or \: \: \: 18.97 \: \: \: \: units\)

Hope this helps you

The surface area of a cylinder can be found by adding the area of the top and bottom circles to the lateral area (the curved surface). The exact surface area of the cylinder is 10 pi square units.

The area of each circle is pi times the radius squared, so:

Area of top circle = pi * (5/4)^2 = 25/16 * pi

Area of bottom circle = pi * (5/4)^2 = 25/16 * pi

The lateral area is the height times the circumference of the circle, so:

Lateral area = height * circumference = (11/4) * (2 * pi * (5/4)) = 55/8 * pi

Adding these three areas together, we get:

Surface area = 2 * (25/16 * pi) + 55/8 * pi

Surface area = 50/16 * pi + 55/8 * pi

Surface area = 25/8 * pi + 55/8 * pi

Surface area = 80/8 * pi

Surface area = 10 * pi

Therefore, the exact surface area of the cylinder is 10 pi square units. None of the answer options provided matches this exact result, but the closest one is 19 3/8 pi cm sq.

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Data types provide the information to the runtime about how much space is required in the memory. Datatypes helps to allocate memory. In OOPs bases programming languages it also helps to decide where memory should be allocated like heap and stack memory.

Data types allow a compiler to allocate the right memory space for a variable, and also let it perform type checking, marking sure the program uses the variables correctly per their defined type.

A data type is an attribute associated with a piece of data that tells a computer system how to interrupt its value. Understanding the data types ensures that data is collected in the preferred format and the value of each property is as expected.

Choosing the right data types for your tables, stored procedures, and variables not only improves performance by ensuring a correct execution plan, but it also improves data integrity by ensuring that the correct data is stored within a database.

Data type and length are the most fundamental integrity constraints applied to data in a database. Simply by specifying the data type for each column when a table is created, DB2 automatically ensures that only the correct type of data is stored in that column. Processes that attempt to insert or update the data to a non-conforming value will be rejected. Furthermore, a maximum length is assigned to the column to prohibit larger values from being stored in the table.

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In this triangle, the product of tan A and tan C is `(BC)^2/(AB)^2`.

The given triangle ABC has angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees , Answer: `(BC)^2/(AB)^2`.

We have to find the product of tan A and tan C.

In triangle ABC, tan A and tan C are equal as the opposite and adjacent sides of angles A and C are the same.

So, we have, tan A = tan C

Therefore, the product of tan A and tan C will be equal to (tan A)^2 or (tan C)^2.

Using the formula of tan: tan A = opposite/adjacent=BC/A Band, tan C = opposite/adjacent=AB/BC.

Thus, tan A = BC/AB tan C = AB/BC Taking the ratio of these two equations, we have: tan A/tan C = BC/AB ÷ AB/BC Tan A * tan C = BC^2/AB^2So, the product of tan A and tan C is equal to `(BC)^2/(AB)^2`.

Answer: `(BC)^2/(AB)^2`.

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Answer:

To find the interquartile range (IQR), ​first find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.

1. 11

2. 9

What is the interquartile range of this data set?

5, 5, 6, 7, 9, 11, 14, 17, 21, 23

Answer: 11

What is the interquartile range of this data set?

4, 5, 7, 9, 10, 14, 16, 24

Answer: 9

The calculated value |Z| = |-2.00722 | = 2.00722 > 2.054 at 0.02 level of significance. So their claim is wrong.

Given that the mean age of retirement for women, executives is 63.2

Given that the size of the sample 'n' = 78

Given that the mean of sample x⁻ = 64.2

Given that the standard deviation  'σ' = 4.4 years

Null hypothesis: H₀: μ ≠ 63.2

Alternative Hypothesis: H₁: μ = 63.2

Test statistic

Z =  -2.00722

|Z| =  2.00722 > 2.054 at 0.02 level of significance

The calculated value |Z| = 2.00722 > 2.054 at 0.02 level of significance

Therefore, we reject the hypothesis.

Statistics is the study of research and surveys on numerical data in mathematics. In order to conduct surveys, the hypothesis must be established. There are typically two different kinds of hypotheses. A null hypothesis is one that holds true, whereas an alternate hypothesis is another.

The null hypothesis is a broad assertion or default stance that there is zero happening or nothing happening in probability and statistics. For instance, there is no association between two measured events or a connection between groups.

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Answer: 107.50

Step-by-step explanation:

RCV is more expensive compared to ACV, therefore, Shawn would have to pay more to insure his belongings with RCV coverage.

As Shawn rents an apartment in an all-brick building located in a historic, downtown neighborhood and the value of the belongings in the apartment is about $25,000, he will have to pay around $125 to $375 per year to insure his belongings while renting depending on the type of coverage he chooses.

A renter’s insurance policy can protect the belongings of renters who live in an apartment or house they rent and covers their liability towards others in case they get injured. For this reason, the cost of renter’s insurance will vary depending on the type of coverage needed. If Shawn wants more coverage, then he will pay a higher rate. There are two types of coverage which include actual cash value (ACV) and replacement cost value (RCV).

ACV is a coverage that pays for the value of the belongings, minus the depreciation. Whereas, RCV is a coverage that pays for the cost of replacing the belongings, regardless of their current value.  

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Answer:

a^2 + b^2 = c^2

Step-by-step explanation:

The distance from Abbotsford to Kelso is 17 km. That is your "a" value. The distance from Abbotsford to Hawick is 15 km.

Answer:Town B  is 26 miles from town A at a bearing of S15 W. Town C  is 54 miles from town A at a bearing of S7 E . Compute the distance from town B to town C Round your final answer to the nearest mile.

Step-by-step explanation:

Answer:

D 60 degrees

Step-by-step explanation:

D

3x = 180

x = 180 / 3

x = 60

Hope that helps!

Answer:

443112444000

Step-by-step explanation:

mark me brainliest for first answer

Answer:

443,112,444,000

Step-by-step explanation:

666 x 666 x 999 x 1000 = 443,112,444,000

Hope it helps :)

Answer:

h=9.51

v=3293.89

Step-by-step explanation:

hope it helps :)

Answer:

h = 9.51

v = 3293.89

Step-by-step explanation:

please mark me as brainliest

Answer:

yes it is.

Step-by-step explanation:

Answer:

480 in³

Step-by-step explanation:

The formula to find the volume of a container is L×B×H (Length×Breadth×Height). So to make this simpler, label the bigger container as 'A' and the smaller container 'B'.

Container 'A' (Volume):

Length×Breadth×Height

5 in×8 in×10 in = 400 in³  

Container 'B' (Volume):

Length×Breadth×Height

4 in×4 in×5 in = 80 in³

To find the total volume, add both values together:

400 in³+ 80 in³ = 480 in³

Answer: 480 in³

Hope this helps!

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The probability of rolling a score of 2 is 1/16, the probability of rolling a score of 3 or 7 is 1/8, the probability of rolling a score of 4 or 6 is 3/16, and the probability of rolling a score of 5 is 1/4. This is the probability distribution for the score obtained when rolling two tetrahedral dice.

To create a probability distribution for the score obtained by rolling two tetrahedral dice, we need to calculate the probability of each possible score that can be obtained by adding the numbers on the bottom faces of the two dice.

There are 16 possible outcomes when rolling two tetrahedral dice, since each die has 4 faces and there are 4 * 4 = 16 possible combinations of faces that can be rolled. To calculate the probability of each possible outcome, we can use the following steps:

List all the possible outcomes of rolling two tetrahedral dice and add up the numbers on the bottom faces to determine the score obtained.

Here are all 16 possible outcomes, along with the sum of the numbers on the bottom faces (which is the score obtained):

(1,1) = 2

(1,2) = 3

(1,3) = 4

(1,4) = 5

(2,1) = 3

(2,2) = 4

(2,3) = 5

(2,4) = 6

(3,1) = 4

(3,2) = 5

(3,3) = 6

(3,4) = 7

(4,1) = 5

(4,2) = 6

(4,3) = 7

(4,4) = 8

Calculate the probability of each possible score by counting the number of outcomes that result in that score, and dividing by the total number of possible outcomes.

For example, to calculate the probability of a score of 2, we count the number of outcomes that result in a sum of 2, which is only one: (1,1). Since there are 16 possible outcomes in total, the probability of rolling a score of 2 is 1/16.

We can repeat this process for each possible score to create the following probability distribution:

Score Probability

2 1/16

3 2/16 = 1/8

4 3/16

5 4/16 = 1/4

6 3/16

7 2/16 = 1/8

8 1/16

So the probability of rolling a score of 2 is 1/16, the probability of rolling a score of 3 or 7 is 1/8, the probability of rolling a score of 4 or 6 is 3/16, and the probability of rolling a score of 5 is 1/4. This is the probability distribution for the score obtained when rolling two tetrahedral dice.

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Answer:

a(8) = -49152

Step-by-step explanation:

Step 1: Find r

-12/3 = 4

Step 2: Write geometric explicit formula

\(a_{n} = 3(4)^{n-1}\)

Step 3: Plug in 8th term for n

\(a_{8} = 3(4)^{7}\)

a(8) = -49152

Alternatively you can find r then multiply 3 by -4 8 times.

Answer:

-2

Step-by-step explanation:

f(x) = 2x, g(x) = x - 4

f(g(3)) = f(-1) = 2(-1) = -2

In a two-way ANOVA, the sum of squares can be calculated for each of the factors and their interaction. The sum of squares for each factor represents the variation in the dependent variable that can be attributed to that particular factor. Therefore, the sum of squares for a two-way ANOVA can be found by calculating the sum of squares for each factor and their interaction.

To find the sum of squares for a two-way ANOVA, follow these steps:

Calculate the grand mean, which is the overall mean of the dependent variable.

Calculate the sum of squares for each factor. This can be done by calculating the sum of the squared deviations of each level of the factor from the grand mean, and then summing these squared deviations across all levels of the factor. The sum of squares for factor A (SSA) and factor B (SSB) can be calculated as follows:

SSA = Σ(∑Xij – (∑Xj/n))^2 / (r * n)

SSB = Σ(∑Xij – (∑Xi/n))^2 / (c * n)

Where Xij is the value of the dependent variable for the ith level of factor A and the jth level of factor B, n is the total number of observations, r is the number of levels for factor A, and c is the number of levels for factor B.

Calculate the sum of squares for the interaction between factor A and B (SSAB) by summing the squared deviations of each cell mean from the corresponding row mean, column mean, and grand mean, and then summing these squared deviations across all cells. The formula for SSAB is as follows:

SSAB = ΣΣ(Xij – Xi – Xj + X)^2 / ((r-1) * (c-1))

Where Xij is the value of the dependent variable for the ith level of factor A and the jth level of factor B, Xi is the mean of the ith level of factor A, Xj is the mean of the jth level of factor B, and X is the grand mean.

Calculate the residual sum of squares (SSE) by subtracting the sum of squares for factor A, factor B, and their interaction from the total sum of squares (SSTO):

SSE = SSTO – SSA – SSB – SSAB

Verify that the sum of squares for each factor and their interaction, plus the residual sum of squares, equals the total sum of squares:

SSTO = SSA + SSB + SSAB + SSE

Therefore, to find the sum of squares in a two-way ANOVA, calculate the sum of squares for each factor and their interaction, and the residual sum of squares using the above steps.

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Answer:

Area = 15.6

Perimeter = 20.6

Step-by-step explanation:

Both smaller triangles are right triangles

The left triangle is isosceles right triangle since 2 angles are 45o so AB is hypotenuse and the other 2 sides are equal

so c^2 = a^2 + b^2

c^2 = 2a^2

(3√2)^2 = 2a^2

2a^2 = 18

a^2 = 9

a = 3

For the right triangle the angle at B is 60o, hypotenuse is BC

so cos(60) = adjacent/hypotenuse

1/2 = 3/BC

=> BC = 6

sin(60) = opposite/hypotenuse

√3/2 = opp/6

opp = 3√3

so AC = 3 + 3√3 = 6√3

Area of triangle = A = 1/2bh = 1/2(6√3)(3) = 9√3 = 15.6

Perimeter = 3√2 + 6√3 + 6 = 20.6